Physics

Q16. a) Give two examples of substances which are good conductors of electricity. Why do you think they are good conductors of electricity? b) Calculate the resistance of a copper wire 1.0km long and 0.50mm diameter if the resistivity of copper is 1.7×10-8Ωm.

Answer: a) Two examples of substances that are good conductors of electricity are silver and copper. These two metals have free electrons that are available for conduction. b) Given in question : l...

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A 6V battery is linked in series with a 20 resistance electric bulb and a 4 resistance cable. Create a circuit schematic and perform the following calculations: c) potential difference between the electric bulb and the resistance wire d) potential difference between the electric bulb and the resistance wire

Answer: c) Difference in potential across the bulb = IR1 = 0.25 20 = 5V d) Difference in potential across the resistance wire = IR2 = 0.25 4 = 1V

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Q15. a) Write down an expression for the resistance of a metallic wire in terms of the resistivity. b) What will be the resistance of a metal wire of length 2 metres and area of cross-section 1.55×10-6m2, if the resistivity of the metal be 2.8×10-8Ωm?

Answer: a) Following is the expression for the resistance of a metallic wire in terms of the resistivity: R = ρl/A Where, R is the resistance of the wire , ρ is the resistivity of the wire , A is...

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c) An electrician has wired a house in such a way that if a lamp gets fused in one room of the house, all the lamps in other rooms of the house stop working. What is the defect in the wiring? d) Draw a circuit diagram showing two electric lamps connected in parallel together with a cell and a switch that works both lamps. Mark an A enclosed in a circle on your diagram to show where an ammeter should be placed to measure the current.

Answer: c) All of the lamps are linked together in a series combination. d)

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Ten bulbs are connected in a series circuit to a power supply line. Ten identical bulbs are connected in a: a) an identical power supply line b) which circuit would have the highest voltage across each bulb? c) in which circuit would the bulbs be brighter? d) in which circuit, if one bulb blows out, all others will stop glowing? e) which circuit would have less current in it?

Answer: The following are the right answers: c) When a parallel circuit is employed, the appliance's operation can be regulated by individual switches. d) When appliances are linked in parallel,...

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Ten bulbs are connected in a series circuit to a power supply line. Ten identical bulbs are connected in a: a) an identical power supply line b) which circuit would have the highest voltage across each bulb? c) in which circuit would the bulbs be brighter? d) in which circuit, if one bulb blows out, all others will stop glowing? e) which circuit would have less current in it?

Answer: The following are the correct answers: a) The circuit must be parallel to have an identical power supply line. b) Each bulb will have the highest voltage when the circuit is parallel.

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An electric iron is connected to the mains power supply of 220V. When the electric iron is adjusted at ‘minimum heating’ it consumes a power of 360W but at ‘maximum heating’ it takes a power of 840W. Calculate the current and resistance in each case.

Answer Given, 220 volts 360W = Pmin 840 W (Pmax) When the heat is turned down to a bare minimum, VI = Pmin I220 = 360 1.63 amps I V/I = R R = 1.63/1.63/1.63/1.63/1.63/1.63 134.96 ohms R = 134.96...

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Two exactly similar heating resistances are connected in series and in parallel in two different circuits one by one. If the same current is passed through both the combinations, is more heat obtained per minute when they are connected in series or when they are connected in parallel? Give reason for your answer.

Answer More heat is obtained each minute when the heating resistances are connected in series. This is due to the fact that the overall resistance in a series configuration is higher than the total...

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The electrical resistivities of four materials P, Q, R, and S are given below: P: 6.84 × 10-8Ωm Q: 1.70 × 10-8Ωm R: 1.0 × 1015Ωm S: 11.0 × 10-7Ωm Which material will you use for making: a) heating element of electric iron b) connecting wires of electric iron c) covering of connecting wires Give reason for your choice in each case.

Answer a) An electric iron's heating element is S, which has a high resistance. This is a nichrome substance. b) An electric iron's connecting wires are Q because they have a low resistance. Copper...

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c) What is the potential difference between the terminals of a battery if 250 joules of work is required to transfer 20 coulombs of charge from one terminal of battery to the other?
d) What is a voltmeter? How is a voltmeter connected in the circuit to measure the potential difference between two points. Explain with the help of a diagram.

c) Given, Work done = 250J Charge moved = 20C To find Potential difference We know that potential difference is given as Potential difference = (Work done)/(Charge moved) p.d = (250)/(20) = 12.5...

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A rope of negligible mass is wound around a hollow cylinder of mass 3 \mathbf{k g} and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N? What is the linear acceleration of the rope? Assume that there is no slipping.

Mass of the hollow cylinder is given as $m=3 \mathrm{~kg}$ Radius of the hollow cylinder is given as $r=40 \mathrm{~cm}=0.4 \mathrm{~m}$ So, force applied will be $F=30 \mathrm{~N}$ Calculating the...

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(a) A child stands at the centre of a turntable with his two arms outstretched. The turntable is set rotating with an angular speed of 40 \mathrm{rev} / \mathrm{min}. How much is the angular speed of the child if he folds his hands back and thereby reduces his moment of inertia to 2 / 5 times the initial value? Assume that the turntable rotates without friction
(b) Show that the child’s new kinetic energy of rotation is more than the initial kinetic energy of rotation. How do you account for this increase in kinetic energy?

(a) Initial angular velocity, is given as $\omega_{1}=40 \mathrm{rev} / \mathrm{min}$ Suppose the final angular velocity be $\omega_{2}$ Let the moment of inertia of the boy with stretched hands be...

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A solid cylinder of mass 20 \mathrm{~kg} rotates about its axis with angular speed 100 \mathrm{rad} \mathrm{s}^{-1}. The radius of the cylinder is 0.25 \mathrm{~m}. What is the kinetic energy associated with the rotation of the cylinder? What is the magnitude of angular momentum of the cylinder about its axis?

Mass of the cylinder is given as $m=20 \mathrm{~kg}$ Angular speed is given as $\omega=100 \mathrm{rad} \mathrm{s}^{-1}$ Radius of the cylinder is given as $r=0.25 \mathrm{~m}$ So, the moment of...

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(a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2 \mathrm{MR}^{2} / 5, where M is the mass of the sphere and \mathbf{R} is the radius of the sphere.
(b) Given the moment of inertia of a disc of mass M and radius \mathbf{R} about any of its diameters to be \mathrm{MR}^{2} / 4, find its moment of inertia about an axis normal to the disc and passing through a point on its edge.

The moment of inertia of a sphere about its diameter is $=2 \mathrm{MR}^{2} / 5$ and is also shown in the figure, As the the theorem of parallel axes says, M.I of a sphere about a tangent to the...

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A 2 \mathrm{~m} irregular plank weighing \mathrm{W} \mathrm{kg} is suspended in the manner shown below, by strings of negligible weight. If the strings make an angle of 35^{0} and 55^{\circ} respectively with the vertical, find the location of center of gravity of the plank from the left end.

Following is the FBD(Free Body Diagram) for the above figure: Length of the plank is given as $\mid=2 \mathrm{~m}$ $\theta_{1}=35^{\circ}$ and $\theta_{2}=55^{\circ}$ Let the tensions produced in...

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Two particles, each of mass m and speed v, travel in opposite directions along parallel lines separated by a distance d. Show that the angular momentum vector of the two-particle system is the same whatever be the point about which the angular momentum is taken

Considering three points $Z, C$ and $X$ : Angular momentum at Z will be given as, $\mathrm{Lz}=\mathrm{mv} \times 0+\mathrm{mv} \times \mathrm{d}$ $=\mathrm{mvd}-(1)$ Angular momentum about $x$ will...

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A child sits stationary at one end of a long trolley moving uniformly with a speed \mathbf{V} on a smooth horizontal floor. If the child gets up and runs about on the trolley in any manner, what is the speed of the CM of the (trolley + child) system?

The child and the trolley are one system, and the youngster's movement within the cart is entirely internal. The velocity of the system's centre of mass will not change because there is no external...

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A star 2.5 times the mass of the sun and collapsed to a size of 12 km rotates with a speed of 1.2 rev. per second. (Extremely compact stars of this kind are known as neutron stars. Certain stellar objects called pulsars belong to this category). Will an object placed on its equator remain stuck to its surface due to gravity? (mass of the sun =2 \times 10^{30} \mathrm{~kg} ).

If the outward centrifugal force is lesser than the inward gravitational pull, any matter will remain stuck to the surface. Gravitational force is given by the relation: $f_{G}=\frac{G M m}{R^{2}}$...

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Two stars each of one solar mass \left(=2 \times 10^{30} \mathrm{~kg}\right) are approaching each other for a headon collision. When they are a distance 10^{9} \mathrm{~km}, their speeds are negligible. What is the speed with which they collide? The radius of each star is 10^{4} \mathrm{~km} . Assume the stars to remain undistorted until they collide. (Use the known value of G).

Mass of each star is given as $M=2 \times 10^{30} \mathrm{~kg}$ Radius of each star is given as $R=10^{4} \mathrm{~km}=10^{7} \mathrm{~m}$ Distance between the stars is given as $r=10^{9}...

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A comet orbits a sun in a highly elliptical orbit. Does the comet have a constant
(a) linear speed,
(b) angular speed,
(c) angular momentum,
(d) kinetic energy,
(e) potential energy,
(f) total energy throughout its orbit? Neglect any mass loss of the comet when it comes very close to the sun.

A comet in an elliptical orbit around the Sun has constant angular momentum and total energy owing to the Law of Conservation of Energy at all locations, but other variables change. The torque...

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Choose the correct alternative:
(a) If the zero of potential energy is at infinity, the total energy of an orbiting satellite is negative of its kinetic/potential energy.
(b) The energy required to launch an orbiting satellite out of earth’s gravitational influence is more/less than the energy required to project a stationary object at the same height (as the satellite) out of earth’s influence.

(a) The total energy of an orbiting satellite is negative of its kinetic energy if the zero potential energy is at infinity. (b) The energy required to launch an orbiting satellite out of Earth's...

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Choose the correct alternative:
(a) Acceleration due to gravity is independent of the mass of the earth/mass of the body.
(b) The formula -G\mathrm{M} \mathbf{m}\left(1 / \mathbf{r}_{2}-1 / \mathbf{r}_{1}\right) is more/less accurate than the formula \mathrm{mg}\left(\mathrm{r}_{2}-\mathrm{r}_{1}\right) for the difference of potential energy between two points r_{2} and r_{1} distance away from the centre of the earth.

(a) Acceleration due to gravity is given by the formula: $g=G{{M}_{e}} /{{ {R}_{e}}^{2}}$ is​​ Hence, it is independent of mass of body, but is dependent on mass of earth. (b) Gravitational...

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Answer the following: If you compare the gravitational force on the earth due to the sun to that due to the moon, you would find that the Sun’s pull is greater than the moon’s pull. (you can check this yourself using the data available in the succeeding exercises). However, the tidal effect of the moon’s pull is greater than the tidal effect of the sun. Why?

Tidal effects are inversely proportional to the cube of distance, whereas gravitational force is inversely proportional to the square of distance. The moon will have a stronger influence on the...

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Which of the following correctly describes the magnetic field near a long straight wore? a) the field consists of straight lines perpendicular to the wire b) the field consists of straight lines parallel to the wire c) the field consists of radial lines originating from the wire d) the field consists of concentric circles centered on the wire

Answer: The correct option is d) the field consists of concentric circles centered on the wire Explanation: In magnetism and electricity, a straight wire or conductor forms concentric magnetic...

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The strength of the magnetic field between the poles of an electromagnet would be unchanged if: a) current in the electromagnet winding were doubled b) direction of current in electromagnet were reversed c) distance between the poles of electromagnet were doubled d) material of the core of electromagnet were changed

Answer: The correct option is b) direction of current in electromagnet were reversed. Answer: The electromagnetic winding's current direction is reversed only on one side of the pole. The magnetic...

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The phenomenon of electromagnetic induction is: a) the process of charging a body b) the process of generating magnetic field due to a current passing through a coil c) producing induced current in a coil due to relative motion between a magnet and the coil d) the process of rotating a coil of an electric motor

Answer: The correct option is c) producing induced current in a coil due to relative motion between a magnet and the coil Explanation: According to Faraday's Law of electromagnetic induction, a...

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A horizontal wire carries a current as shown in figure below between magnetic poles N and S: Is the direction of the force on the wire due to the magnet: a) in the direction of the current b) vertically downwards c) opposite to the current direction d) vertically upwards

Answer: The correct answer is d) vertically upwards Explanation: Using Fleming's left-hand rule, the wire's force acts vertically upward. The index finger indicates the direction of the magnetic...

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